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Finding the Fourth Proportional to 1,404.99, 2,106.02 and 480.24

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Solution

The fourth proportional to 1,404.99, 2,106.02 and 480.24 is: 719.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.99 : 2,106.02 = 480.24 : x
  2. Step 2: Convert to fraction form
    1,404.99/2,106.02 = 480.24/x
  3. Step 3: Cross multiply
    1,404.99x = 2,106.02 × 480.24
  4. Step 4: Simplify right side
    1,404.99x = 1,011,396.25
  5. Step 5: Solve for x
    x = 1,011,396.25/1,404.99
  6. Step 6: Final answer
    x = 719.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.